## Mathematical Analysis## Differential Equations |

## What are implicit and explicit differential equations? |

As seen above, an ordinary differential equation is one involving *x, y, y', y''*, and so on. Now add the idea that the order of the highest derivative is *n*. Thus, if a differential equation of order *n* has the form *F*(*x*, *y', y''*, …y^{(n)}) = 0, then it is called an *implicit differential equation.* If it is of the form *F*(*x*, *y', y''*, … *y*^{(n - 1)}) = *y*^{(n)}, it is called an *explicit differential equation.*